A norm minimization-based convex vector optimization algorithm
We propose an algorithm to generate inner and outer polyhedral approximations to the
upper image of a bounded convex vector optimization problem. It is an outer approximation …
upper image of a bounded convex vector optimization problem. It is an outer approximation …
Algorithms to solve unbounded convex vector optimization problems
This paper is concerned with solution algorithms for general convex vector optimization
problems (CVOPs). So far, solution concepts and approximation algorithms for solving …
problems (CVOPs). So far, solution concepts and approximation algorithms for solving …
Characterizing and computing the set of nash equilibria via vector optimization
Nash equilibria and Pareto optimality are two distinct concepts when dealing with multiple
criteria. It is well known that the two concepts do not coincide. However, in this work, we …
criteria. It is well known that the two concepts do not coincide. However, in this work, we …
[PDF][PDF] Output-sensitive complexity of multiobjective combinatorial optimization with an application to the multiobjective shortest path problem
FK Bökler - 2018 - tcs.uni-osnabrueck.de
In this thesis, we are concerned with multiobjective combinatorial optimization (MOCO)
problems. We attempt to fill the gap between theory and practice, which comes from the lack …
problems. We attempt to fill the gap between theory and practice, which comes from the lack …
GoNDEF: an exact method to generate all non-dominated points of multi-objective mixed-integer linear programs
Most real-world problems involve multiple conflicting criteria. These problems are called
multi-criteria/multi-objective optimization problems (MOOP). The main task in solving …
multi-criteria/multi-objective optimization problems (MOOP). The main task in solving …
Time consistency of the mean-risk problem
Choosing a portfolio of risky assets over time that maximizes the expected return at the same
time as it minimizes portfolio risk is a classical problem in mathematical finance and is …
time as it minimizes portfolio risk is a classical problem in mathematical finance and is …
Convergence analysis of a norm minimization-based convex vector optimization algorithm
In this work, we propose an outer approximation algorithm for solving bounded convex
vector optimization problems (CVOPs). The scalarization model solved iteratively within the …
vector optimization problems (CVOPs). The scalarization model solved iteratively within the …
The search-and-remove algorithm for biobjective mixed-integer linear programming problems
B Soylu - European Journal of Operational Research, 2018 - Elsevier
In this study, an exact algorithm, called the search-and-remove (SR) algorithm, is proposed
to compute the Pareto frontier of biobjective mixed-integer linear programming problems. At …
to compute the Pareto frontier of biobjective mixed-integer linear programming problems. At …
Tractability of convex vector optimization problems in the sense of polyhedral approximations
F Ulus - Journal of Global Optimization, 2018 - Springer
There are different solution concepts for convex vector optimization problems (CVOPs) and
a recent one, which is motivated from a set optimization point of view, consists of finitely …
a recent one, which is motivated from a set optimization point of view, consists of finitely …
[HTML][HTML] A new exact method for linear bilevel problems with multiple objective functions at the lower level
In this paper we consider linear bilevel programming problems with multiple objective
functions at the lower level. We propose a general-purpose exact method to compute the …
functions at the lower level. We propose a general-purpose exact method to compute the …